a reciprocal state or relation.
reciprocation; mutual exchange.
the relation or policy in commercial dealings between countries by which corresponding advantages or privileges are granted by each country to the citizens of the other.

1760–70; < Latin reciproc(us) (see reciprocal) + -ity

nonreciprocity, noun Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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World English Dictionary
reciprocity (ˌrɛsɪˈprɒsɪtɪ)
n , pl -ities
1.  reciprocal action or relation
2.  a mutual exchange of commercial or other privileges
[C18: via French from Latin reciprocusreciprocal]

Collins English Dictionary - Complete & Unabridged 10th Edition
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Word Origin & History

1766, from Fr. réciprocité, from L. reciprocus (see reciprocal).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
We must combine it with some degree of altruism, some concern for our fellow
  human beings based on the principle of reciprocity.
Boastful pride is condemned, because it rips the delicate web of reciprocity.
One would think that the affinities would pronounce themselves with a surer
As long as such reciprocity remains, sovereign funds should find themselves
  able to shop fairly freely.
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